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Finding the Third Proportional to 113.88 and 171.63

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Solution

The third proportional to 113.88 and 171.63 is: 258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.88 : 171.63 = 171.63 : x
  2. Step 2: Convert to fraction form
    113.88/171.63 = 171.63/x
  3. Step 3: Cross multiply
    113.88x = 171.63 × 171.63
  4. Step 4: Simplify right side
    113.88x = 29,455.14
  5. Step 5: Solve for x
    x = 29,455.14/113.88
  6. Step 6: Final answer
    x = 258.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.